Question

You and your friend each purchase an equal number n of magazines. Your magazines cost $1.50 each and your friend's magazines cost $2 each. The total cost for you and your friend is $10.50. Write and solve an equation to find the number of magazines you purchased.

Answer 1

Given:

You and your friend each purchase an equal number n of magazines.

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Total cost = $10.50

To find:

The equation to find number of magazines you purchased.

Solution:

Your magazines cost = $1.50 each

Your friend's magazines cost = $2 each

Number of magazines purchased by you and your friend = n

Total cost =
`1.50n+2n`

It is given that total cost is $10.50.

`1.50n+2n=10.50`

`3.50n=10.50`

Divide both sides by 3.50.

`n=(10.50)/(3.50)`

`n=3`

Therefore, required equation is
`1.50n+2n=10.50` and the number of magazines purchased by you is 3.